Question

1. an exponential function is graphed on the grid. draw the asymptote and identify the key features listed. y-intercept asymptote growth or decay? growth decay y = 4 y = -4 y = 3 y = -3 (0, -3) (0, 3) (3, 0) (-3, 0)

Explanation:

Step1: Identify y-intercept

The y-intercept is where the graph crosses the y-axis (x=0). From the graph, this point is $(0, -3)$.

Step2: Identify horizontal asymptote

The graph approaches a horizontal line $y=-4$ as $x$ increases, so this is the asymptote.

Step3: Classify growth/decay

As $x$ increases, the function value decreases and approaches the asymptote, so it is decay.

Answer:

• y-intercept: $(0, -3)$
• Asymptote: $y=-4$
• Growth or Decay?: Decay